I first started with Code:Realize! The first game specifically, called Code:Realize ~Guardian of Rebirth~. When I was 12, I learned about the game through online spaces but never got the chance to play it until I bought a Nintendo Switch last year.
One term that you might come across is a fan disc. Fan discs are essentially extended content of original otome games. For example, Code:Realize has two fan discs: Code:Realize ~Future Blessings~ and Code:Realize ~Wintertide Blessings~, which are more focused on the romance than on the plot in the original game.
I only got into otome games recently, so my recommendations are limited:
- The Hakuoki visual novels have been a starting point for many people. It's been praised for also integrating actual Japanese history (specifically during the time of the Shinsengumi).
- There have been many ports for these games, but I personally played the games on Steam. The common thing to do is select a LI and play his route in Hakuoki: Kyoto Winds and then continue his route in Hakuoki: Edo Blossoms. I heard the Nintendo Switch version combines both games so you don't have to close one game and open the other.
- If you end up liking this franchise, you're in luck considering the amount of content made from the original visual novel. There's been anime adaptations, a fan disc where the Shinsengumi captains are put into a modern school era, and I believe there's an upcoming fan disc that shows more content between Kyoto Winds and Edo Blossoms.
- Nightshade (百花百狼 戦国忍法帖 | Hyakka Hyakurou Sengoku Ninpou-chou) is a more recent game but also takes place in a setting where ninjas (shinobu) were more common in Japan. Expect a mix of action and romance! Highly recommended.
Hope you enjoy getting into otome!